13566144 has 28 divisors (see below), whose sum is σ = 35894264. Its totient is φ = 4521984.

The previous prime is 13566109. The next prime is 13566169. The reversal of 13566144 is 44166531.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a zygodrome in base 2.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 35137 + ... + 35520.

It is an arithmetic number, because the mean of its divisors is an integer number (1281938).

Almost surely, 2^13566144 is an apocalyptic number.

It is an amenable number.

13566144 is an abundant number, since it is smaller than the sum of its proper divisors (22328120).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13566144 is an equidigital number, since it uses as much as digits as its factorization.

13566144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70672 (or 70662 counting only the distinct ones).

The product of its digits is 8640, while the sum is 30.

The square root of 13566144 is about 3683.2246741137. The cubic root of 13566144 is about 238.4984023908.

The spelling of 13566144 in words is "thirteen million, five hundred sixty-six thousand, one hundred forty-four".